Spectral gap on Riemannian path space over static and evolving manifolds

DOI10.1016/j.jfa.2017.12.004zbMath1384.58025arXiv1611.02165OpenAlexW2551412958MaRDI QIDQ1693257

Anton Thalmaier, Li-Juan Cheng

Publication date: 11 January 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02165

zbMATH Keywords

Brownian motionMalliavin calculusRiemannian manifoldspectral gappath spacelog-Sobolev inequalityOrnstein-Uhlenbeck operatorWitten Laplaciangeometric flow\(L\)-diffusion processevolving manifoldpinched Bakry-Emery Ricci curvature

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Characterizations of the upper bound of Bakry-Emery curvature ⋮ Characterization of pinched Ricci curvature by functional inequalities ⋮ Functional inequalities on path space of sub-Riemannian manifolds and applications ⋮ A Bochner formula on path space for the Ricci flow

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